Is there any difference between matrices over the field with characteristic $0$, and over prime characteristic (particularly over $3$), or the All the properties remain over both types of field? As an example "a determinant of skew-symmetric matrix over $R$, of odd order, is zero". Does it always hold for finite field $F_p$ ? Are diagonalizability conditions the same or not?
2026-05-06 10:57:34.1778065054
Is there any difference between matrices over field with characteristic $0$ and over prime characteristic (particularly over $3$)?
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